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SUMMARY:Andrew Graham (Université Paris-Saclay)
DTSTART:20220215T213000Z
DTEND:20220215T223000Z
DTSTAMP:20260423T125939Z
UID:MITNT/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/40/">F
 unctoriality of higher Coleman theory and p-adic L-functions in the unitar
 y setting</a>\nby Andrew Graham (Université Paris-Saclay) as part of MIT 
 number theory seminar\n\nLecture held in Room 2-449 in the Simons Building
  (building 2).\n\nAbstract\nI will describe the construction of a p-adic a
 nalytic function interpolating unitary Friedberg--Jacquet periods\, which 
 are conjecturally related to central critical values of L-functions for cu
 spidal automorphic representations of unitary groups. The construction inv
 olves establishing functoriality of Boxer and Pilloni's higher Coleman the
 ory\, and p-adically interpolating branching laws for a certain pair of un
 itary groups. The motivation for such a p-adic analytic function arises fr
 om the Bloch--Kato conjecture for twists of the associated Galois represen
 tation by anticyclotomic characters.\n
LOCATION:https://researchseminars.org/talk/MITNT/40/
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